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Finding the Third Proportional to 173,044.69 and 261,873

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Solution

The third proportional to 173,044.69 and 261,873 is: 396,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,044.69 : 261,873 = 261,873 : x
  2. Step 2: Convert to fraction form
    173,044.69/261,873 = 261,873/x
  3. Step 3: Cross multiply
    173,044.69x = 261,873 × 261,873
  4. Step 4: Simplify right side
    173,044.69x = 68,577,468,129
  5. Step 5: Solve for x
    x = 68,577,468,129/173,044.69
  6. Step 6: Final answer
    x = 396,299.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.